If m 0 n and m is odd, then all of the following could be odd and

Question

If m > 0 > n and m is odd, then all of the following could be odd and positive EXCEPT

A. (mn)^2

B. n^3 – m^3

C. (m – n)^2

D. m^2 + n^2

E. m(m + n)

NeoNguyen1989 · Answer

B is the answer. n3 is negative as n is negative and -m3 is negative as m and m3 are positive

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Archit3110 · Answer

Bunuel :
 If m > 0 > n  shouldn't it be m<0>n ?

jfranciscocuencag · Answer

N3 - M3 will be always negative.

B

ScottTargetTestPrep · Answer

Since n is negative and m is positive, we see that answer choice B has:

negative - positive; thus n^3 - m^3 will never be positive.

Answer: B

AG2103 · Answer

It is true that N^3-M^3 will always be negative; however, what about the condition of an odd result? Can someone please explain this?

Bunuel · Answer

No need to check for oddness here - the question asks for odd  and  positive. Option B cannot be positive, so it’s enough to discard it immediately.

Other options can be both odd and positive depending on values.

If m > 0 > n and m is odd, then all of the following could be odd and